Sketch the graph for the equation f(x) = x³ – 2x² + x + 1. In the graph, show the local extrema of f(x), the intervals on which the graph of f(x) is concave upward or is downward, and the coordinate of the point of inflection. Sketching only the graph will not giving you the mark. Demonstrate how you get the answer.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.7: Graph Quadratic Functions Using Transformations
Problem 361E: Graph the quadratic function f(x)=x2+4x+5 first using the properties as we did in the last section...
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Question
(a)
Sketch the graph for the equation f(x) = x³ – 2x2 + x + 1. In the graph, show
the local extrema of f(x), the intervals on which the graph of f (x) is concave
upward or is downward, and the coordinate of the point of inflection. Sketching
only the graph will not giving you the mark. Demonstrate how you get the
answer.
Transcribed Image Text:(a) Sketch the graph for the equation f(x) = x³ – 2x2 + x + 1. In the graph, show the local extrema of f(x), the intervals on which the graph of f (x) is concave upward or is downward, and the coordinate of the point of inflection. Sketching only the graph will not giving you the mark. Demonstrate how you get the answer.
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